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196152240 = 24354383229
BaseRepresentation
bin10111011000100…
…00101110110000
3111200002120021210
423230100232300
5400203332430
631244120120
74601160264
oct1354205660
9450076253
10196152240
11a07a5099
1255836040
133183ab1b
141c0a00a4
15123492b0
hexbb10bb0

196152240 has 160 divisors (see below), whose sum is σ = 632459520. Its totient is φ = 50254848.

The previous prime is 196152227. The next prime is 196152247. The reversal of 196152240 is 42251691.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 196152198 and 196152207.

It is not an unprimeable number, because it can be changed into a prime (196152247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 856446 + ... + 856674.

It is an arithmetic number, because the mean of its divisors is an integer number (3952872).

Almost surely, 2196152240 is an apocalyptic number.

196152240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196152240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316229760).

196152240 is an abundant number, since it is smaller than the sum of its proper divisors (436307280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

196152240 is a wasteful number, since it uses less digits than its factorization.

196152240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 196152240 is about 14005.4360874626. The cubic root of 196152240 is about 581.0289306141.

The spelling of 196152240 in words is "one hundred ninety-six million, one hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 83 86 120 129 166 172 215 229 240 249 258 332 344 415 430 458 498 516 645 664 687 688 830 860 916 996 1032 1145 1245 1290 1328 1374 1660 1720 1832 1992 2064 2290 2490 2580 2748 3320 3435 3440 3569 3664 3984 4580 4980 5160 5496 6640 6870 7138 9160 9847 9960 10320 10707 10992 13740 14276 17845 18320 19007 19694 19920 21414 27480 28552 29541 35690 38014 39388 42828 49235 53535 54960 57021 57104 59082 71380 76028 78776 85656 95035 98470 107070 114042 118164 142760 147705 152056 157552 171312 190070 196940 214140 228084 236328 285105 285520 295410 304112 380140 393880 428280 456168 472656 570210 590820 760280 787760 817301 856560 912336 1140420 1181640 1520560 1634602 2280840 2363280 2451903 3269204 4086505 4561680 4903806 6538408 8173010 9807612 12259515 13076816 16346020 19615224 24519030 32692040 39230448 49038060 65384080 98076120 196152240